The travel graph shows a student’s journey.
(a) Explain what is happening between 14 20 and 14 40.
(b) Complete the statement: The student is travelling fastest between the times ______ and ______ because ______.
▶️ Answer/Explanation
Ans:
(a) The student is stationary (not moving) between 14:20 and 14:40 as the distance doesn’t change.
(b) The student is travelling fastest between 13:00 and 13:20 because the gradient is steepest (distance changes most rapidly).
The travel graph shows Lola’s journey from her house to Sarah’s house.
(a) Lola stopped at a shop on the way to Sarah’s house. For how many minutes did she stop?
(b) Write down the time she arrived at Sarah’s house.
(c) Calculate Lola’s average speed from leaving the shop to arriving at Sarah’s house. Give your answer in kilometres per hour.
(d) Lola stayed at Sarah’s house for 1 hour 20minutes. She then cycled home without stopping. Her journey took 50minutes. Complete the travel graph.
▶️ Answer/Explanation
(a) Ans: 10 minutes
The flat portion of the graph between 14:20 and 14:30 indicates no distance change, meaning she stopped for 10 minutes.
(b) Ans: 15:10
The journey ends when the graph reaches 12km at 15:10, which is her arrival time at Sarah’s house.
(c) Ans: 9 km/h
From shop (14:30 at 4km) to Sarah’s (15:10 at 12km): Distance = 8km, Time = 40min = $\frac{2}{3}$ hour. Speed = $\frac{8}{2/3} = 12$ km/h.
(d)
From 15:10 to 16:30 (1h20m stay), then 50min ride home ending at 17:20. Graph shows horizontal line at 12km until 16:30, then straight decline to 0km at 17:20.